Anomalous resonance phenomena of solitary waves with internal modes

Details Anomalous resonance phenomena of solitary waves with internal modes Anomalous resonance phenomena of solitary waves with internal modes

1999-11-30

arxiv.org/abs/cond-mat/9911487v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, to appear in Phys Rev Lett

Scientific paper

10.1103/PhysRevLett.84.871

We investigate the non-parametric, pure ac driven dynamics of nonlinear Klein-Gordon solitary waves having an internal mode of frequency $\Omega_i$. We show that the strongest resonance arises when the driving frequency $\delta=\Omega_i/2$, whereas when $\delta=\Omega_i$ the resonance is weaker, disappearing for nonzero damping. At resonance, the dynamics of the kink center of mass becomes chaotic. As we identify the resonance mechanism as an {\em indirect} coupling to the internal mode due to its symmetry, we expect similar results for other systems.

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